Solve for w p=2l+2w

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Solve for w p=2l+2w

$p = 2 l + 2 w$

Rewrite the equation as $2 l + 2 w = p$ .

$2 l + 2 w = p$

Subtract $2 l$ from both sides of the equation.

$2 w = p - 2 l$

Divide each term by $2$ and simplify.

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Divide each term in $2 w = p - 2 l$ by $2$ .

$\frac{2 w}{2} = \frac{p}{2} + \frac{- 2 l}{2}$

Cancel the common factor of $2$ .

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Cancel the common factor.

$\frac{2 w}{2} = \frac{p}{2} + \frac{- 2 l}{2}$

Divide $w$ by $1$ .

$w = \frac{p}{2} + \frac{- 2 l}{2}$

Cancel the common factor of $- 2$ and $2$ .

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Factor $2$ out of $- 2 l$ .

$w = \frac{p}{2} + \frac{2 (- l)}{2}$

Cancel the common factors.

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Factor $2$ out of $2$ .

$w = \frac{p}{2} + \frac{2 (- l)}{2 (1)}$

Cancel the common factor.

$w = \frac{p}{2} + \frac{2 (- l)}{2 \cdot 1}$

Rewrite the expression.

$w = \frac{p}{2} + \frac{- l}{1}$

Divide $- l$ by $1$ .

$w = \frac{p}{2} - l$

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